Details:
Title  Generalized Koszul properties for augmented algebras  Author(s)  Christopher Phan  Type  Article in Journal  Abstract  Under certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E ( A ) : = Ext A ( K , K ) . We show that there exists a bigraded algebra monomorphism gr E ( A ) ↪ E Gr ( gr A ) , where E Gr ( gr A ) is the graded Yoneda algebra of grA. This monomorphism can be applied in the case where A is connected graded to determine that A has the K 2 property recently introduced by Cassidy and Shelton.  Keywords  Augmented algebra, Filtered algebra, Graded algebra, Gröbner basis, K 2 algebra, Koszul algebra, Poincaré–Birkhoff–Witt algebra, Yoneda algebra  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869308006194 
Language  English  Journal  Journal of Algebra  Volume  321  Number  5  Pages  1522  1537  Year  2009  Edition  0  Translation 
No  Refereed 
No 
